Title :
Codes over ℤ4+vℤ4
Author :
Bandi, Rama Krishna ; Bhaintwal, Maheshanand
Author_Institution :
Dept. of Math., Indian Inst. of Technol. Roorkee, Roorkee, India
Abstract :
In this paper we study linear codes over the ring R = ℤ4 + vℤ4, where v2 = v. Using a Gray map on R we obtain the MacWilliams identities for both Lee and Gray weight enumerators for codes over R. We also briefly discuss self-dual codes over R. We give some construction methods of self-dual and self-orthogonal codes, and illustrate them with some examples.
Keywords :
codes; Gray map; Gray weight enumerators; Lee weight enumerators; MacWilliams identities; linear codes; self-dual codes; self-orthogonal codes; Electronic mail; Generators; Hamming weight; Informatics; Linear codes; Mathematics; Zinc;
Conference_Titel :
Advances in Computing, Communications and Informatics (ICACCI, 2014 International Conference on
Conference_Location :
New Delhi
Print_ISBN :
978-1-4799-3078-4
DOI :
10.1109/ICACCI.2014.6968489
